51596668201 has 27 divisors (see below), whose sum is σ = 56757671247. Its totient is φ = 46883553600.

The previous prime is 51596668171. The next prime is 51596668267. The reversal of 51596668201 is 10286669515.

The square root of 51596668201 is 227149.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 620059801 + 50976608400 = 24901^2 + 225780^2 .

It is not a de Polignac number, because 51596668201 - 2⁵ = 51596668169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51596668901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 298246551 + ... + 298246723.

Almost surely, 2^51596668201 is an apocalyptic number.

51596668201 is the 227149-th square number.

51596668201 is the 113575-th centered octagonal number.

It is an amenable number.

51596668201 is a deficient number, since it is larger than the sum of its proper divisors (5161003046).

51596668201 is an equidigital number, since it uses as much as digits as its factorization.

51596668201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 49.

Multiplying 51596668201 by its sum of digits (49), we get a square (2528236741849 = 1590043²).

The spelling of 51596668201 in words is "fifty-one billion, five hundred ninety-six million, six hundred sixty-eight thousand, two hundred one".